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6\left(x^{2}-24x+144\right)-384
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-12\right)^{2}.
6x^{2}-144x+864-384
Use the distributive property to multiply 6 by x^{2}-24x+144.
6x^{2}-144x+480
Subtract 384 from 864 to get 480.
6\left(x^{2}-24x+144\right)-384
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-12\right)^{2}.
6x^{2}-144x+864-384
Use the distributive property to multiply 6 by x^{2}-24x+144.
6x^{2}-144x+480
Subtract 384 from 864 to get 480.